{"id":"https://openalex.org/W4405580713","doi":"https://doi.org/10.1007/s40747-024-01637-3","title":"Dynamic decomposition and hyper-distance based many-objective evolutionary algorithm","display_name":"Dynamic decomposition and hyper-distance based many-objective evolutionary algorithm","publication_year":2024,"publication_date":"2024-12-19","ids":{"openalex":"https://openalex.org/W4405580713","doi":"https://doi.org/10.1007/s40747-024-01637-3"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-024-01637-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01637-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01637-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01637-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087903322","display_name":"Xujian Wang","orcid":"https://orcid.org/0000-0003-3290-9318"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xujian Wang","raw_affiliation_strings":["PLA Rocket Force University of Engineering, Xi\u2019an, Shaanxi, China","PLA Rocket Force University of Engineering, Xi'an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"PLA Rocket Force University of Engineering, Xi\u2019an, Shaanxi, China","institution_ids":["https://openalex.org/I2801618472"]},{"raw_affiliation_string":"PLA Rocket Force University of Engineering, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091458655","display_name":"Fenggan Zhang","orcid":"https://orcid.org/0000-0001-7997-9239"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fenggan Zhang","raw_affiliation_strings":["PLA Rocket Force University of Engineering, Xi\u2019an, Shaanxi, China","PLA Rocket Force University of Engineering, Xi'an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"PLA Rocket Force University of Engineering, Xi\u2019an, Shaanxi, China","institution_ids":["https://openalex.org/I2801618472"]},{"raw_affiliation_string":"PLA Rocket Force University of Engineering, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103550813","display_name":"Minli Yao","orcid":null},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Minli Yao","raw_affiliation_strings":["PLA Rocket Force University of Engineering, Xi\u2019an, Shaanxi, China","PLA Rocket Force University of Engineering, Xi'an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"PLA Rocket Force University of Engineering, Xi\u2019an, Shaanxi, China","institution_ids":["https://openalex.org/I2801618472"]},{"raw_affiliation_string":"PLA Rocket Force University of Engineering, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I2801618472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087903322"],"corresponding_institution_ids":["https://openalex.org/I2801618472"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":1.0482,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80815705,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"11","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.818594217300415},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6274076104164124},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.551693320274353},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5034756064414978},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4295184016227722},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3751814365386963},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35164692997932434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32639265060424805},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.09686541557312012}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.818594217300415},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6274076104164124},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.551693320274353},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5034756064414978},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4295184016227722},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3751814365386963},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35164692997932434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32639265060424805},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.09686541557312012},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-024-01637-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01637-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01637-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d727d693d6e244da84c13512b1a82208","is_oa":true,"landing_page_url":"https://doaj.org/article/d727d693d6e244da84c13512b1a82208","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 11, Iss 1, Pp 1-20 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-024-01637-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01637-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01637-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G37568934","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6687674614","display_name":null,"funder_award_id":"62001500","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7033253288","display_name":null,"funder_award_id":"Grants","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G715731840","display_name":null,"funder_award_id":"62071480","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405580713.pdf","grobid_xml":"https://content.openalex.org/works/W4405580713.grobid-xml"},"referenced_works_count":64,"referenced_works":["https://openalex.org/W2020320008","https://openalex.org/W2022485595","https://openalex.org/W2023685757","https://openalex.org/W2025822274","https://openalex.org/W2032101114","https://openalex.org/W2040622444","https://openalex.org/W2058142975","https://openalex.org/W2063375245","https://openalex.org/W2071694551","https://openalex.org/W2072661909","https://openalex.org/W2075016777","https://openalex.org/W2085507535","https://openalex.org/W2102365077","https://openalex.org/W2103839413","https://openalex.org/W2116555342","https://openalex.org/W2118044993","https://openalex.org/W2120091775","https://openalex.org/W2134152443","https://openalex.org/W2135974394","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2283268937","https://openalex.org/W2313094906","https://openalex.org/W2343601797","https://openalex.org/W2469950730","https://openalex.org/W2563621803","https://openalex.org/W2582096828","https://openalex.org/W2588272390","https://openalex.org/W2594575977","https://openalex.org/W2599937626","https://openalex.org/W2735649024","https://openalex.org/W2744544024","https://openalex.org/W2753944351","https://openalex.org/W2764251381","https://openalex.org/W2783781089","https://openalex.org/W2783827472","https://openalex.org/W2793059710","https://openalex.org/W2798139910","https://openalex.org/W2802480283","https://openalex.org/W2808807389","https://openalex.org/W2888338796","https://openalex.org/W2896014807","https://openalex.org/W2901472199","https://openalex.org/W2912521411","https://openalex.org/W2918702815","https://openalex.org/W2921981915","https://openalex.org/W2946725000","https://openalex.org/W2963185242","https://openalex.org/W2963586865","https://openalex.org/W3004476750","https://openalex.org/W3007341820","https://openalex.org/W3009895648","https://openalex.org/W3011855308","https://openalex.org/W3023226870","https://openalex.org/W3081045595","https://openalex.org/W3086707395","https://openalex.org/W3096076825","https://openalex.org/W3100195331","https://openalex.org/W3129038271","https://openalex.org/W3138813619","https://openalex.org/W4206313937","https://openalex.org/W4210618988","https://openalex.org/W4220790162","https://openalex.org/W4290702949"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W2052122378","https://openalex.org/W2887328214","https://openalex.org/W2116464912"],"abstract_inverted_index":{"Nowadays":[0],"many":[1],"algorithms":[2,177],"have":[3],"appeared":[4],"to":[5,42,53,67,85,88,95,123,127,131,160,170,185,190],"solve":[6],"many-objective":[7,34],"optimization":[8],"problems":[9,155],"(MaOPs),":[10],"yet":[11],"the":[12,44,47,55,68,71,74,92,119,124,128,140,143,152,163],"balance":[13],"between":[14],"convergence":[15,103,133],"and":[16,31,77,104,126,134,137,188,200],"diversity":[17,45],"is":[18,168,183],"still":[19],"an":[20],"open":[21],"issue.":[22],"In":[23],"this":[24],"paper,":[25],"we":[26,49,106],"propose":[27,107],"a":[28],"dynamic":[29,51],"decomposition":[30,52],"hyper-distance":[32,108],"based":[33,109],"evolutionary":[35],"algorithm":[36],"named":[37],"DHEA.":[38],"On":[39,91],"one":[40],"hand,":[41,94],"maximize":[43],"of":[46,70,121,165,197,205],"population,":[48],"use":[50],"decompose":[54],"whole":[56],"population":[57,72],"into":[58,81],"multiple":[59],"clusters.":[60],"Specifically,":[61,116],"first":[62,117],"find":[63],"pivot":[64,89,129],"solutions":[65,80,97,122],"according":[66,84],"distribution":[69],"through":[73],"max\u2013min-angle":[75],"strategy,":[76],"then,":[78],"assign":[79],"different":[82,195,203],"clusters":[83],"their":[86],"distances":[87],"solutions.":[90],"other":[93],"select":[96,139],"from":[98],"each":[99],"cluster":[100],"with":[101,142,156,175,192,194],"balanced":[102],"diversity,":[105,135],"angle":[110],"penalized":[111],"distance":[112,120],"for":[113],"fitness":[114,145],"assignment.":[115],"compute":[118],"hyperplane":[125],"solution":[130,141],"measure":[132],"respectively,":[136],"then":[138],"smallest":[144],"value.":[146],"Hyper-distance,":[147],"as":[148],"convergence-related":[149],"component,":[150],"alleviates":[151],"bias":[153],"towards":[154],"concave":[157],"PFs.":[158],"Besides,":[159],"promote":[161],"convergence,":[162],"concept":[164],"knee":[166],"points":[167],"introduced":[169],"mating":[171],"selection.":[172],"Through":[173],"comparison":[174],"nine":[176],"on":[178,202],"27":[179],"test":[180],"problems,":[181],"DHEA":[182],"validated":[184],"be":[186],"effective":[187],"competitive":[189],"deal":[191],"MaOPs":[193],"types":[196],"Pareto":[198],"fronts":[199],"stable":[201],"numbers":[204],"objectives.":[206]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}
